The term 'mobile' phone is more commonly used in the UK. 'Cell Phones' are mobile phones, but the term 'cell phone' is more common in the USA.
There is not difference - just a persons preferrance in what they call it. In Europe, they use the term mobile phone more and in the US we call it cell phone.

Shin-A cell phone is an electronic telecommunications device, cell phones connect to a wireless communications network through radio wave or satellite transmissions. Most cell phones provide voice communications, Short Message Service (SMS), Multimedia Message Service (MMS), and newer phones may also provide Internet services such as Web browsing and e-mail.There is no difference between cell phone and mobile phone.Its only a matter of language.the word mobile is used mainly by britishwhere as cell phone american